Mathematics-Dynamical Systems

Spinning tops: a course on integrable systems

US$5.00 US$37.00

Title (user) : Spinning tops: a course on integrable systemsTitle (google) : Spinning Tops A Course on Integrable SystemsISBN : 9780521561297,0521561299DDC : 531/.34/0151474LCC : QA862.T7 A93 1996GoogleBook ID : KDJkQgAACAAJOpenLibrary ID : OL7746420MSeries : Cambrid...
Description

Title (user) : Spinning tops: a course on integrable systems

Title (google) : Spinning Tops A Course on Integrable Systems

ISBN : 9780521561297,0521561299

DDC : 531/.34/0151474

LCC : QA862.T7 A93 1996

GoogleBook ID : KDJkQgAACAAJ

OpenLibrary ID : OL7746420M

Series : Cambridge Studies in Advanced Mathematics

Authors (user) : M. Audin

Authors (google) : M. Audin

Publisher : Cambridge University Press

Language : English

Publication Date : 1996

Scanned : yes (300 DPI)

File Format : djvu

Categories : Mathematics


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Description (user) :
Since the time of Lagrange and Euler, it has been well known that an understanding of algebraic curves can illuminate the picture of rigid bodies provided by classical mechanics. A modern view of the role played by algebraic geometry has been established in recent years by many mathematicians. This book presents some of these modern techniques, which fall within the orbit of finite dimensional integrable systems. The main body of the text presents a rich assortment of methods and ideas from algebraic geometry prompted by classical mechanics, whilst in appendices the general, abstract theory is described. The methods are given a topological application, for the first time in book form, to the study of Liouville tori and their bifurcations. The book is based on courses for graduate students given by the author at Strasbourg University but the wealth of original ideas will make it also appeal to researchers.


------------------------------------------

Description (google) :
Since the time of Lagrange and Euler, it has been well known that an understanding of algebraic curves can illuminate the picture of rigid bodies provided by classical mechanics. Many mathematicians have established a modern view of the role played by algebraic geometry in recent years. This book presents some of these modern techniques, which fall within the orbit of finite dimensional integrable systems. The main body of the text presents a rich assortment of methods and ideas from algebraic geometry prompted by classical mechanics, while in appendices the author describes general, abstract theory. She gives the methods a topological application, for the first time in book form, to the study of Liouville tori and their bifurcations.

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